1MA0 Higher March 2013 Paper 2 Q13
13
Diagram NOT accurately drawn
\(ABC\) is a right-angled triangle.
\(AC = 6\) cm
\(AB = 13\) cm
(a) Work out the length of \(BC\).
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
Diagram NOT accurately drawn
\(PQR\) is a right-angled triangle.
\(PR = 17\) cm
\(PQ = 25\) cm
(b) Work out the size of angle \(RPQ\).
Give your answer correct to 1 decimal place. (3)
Give your answer correct to 1 decimal place. (3)
| Answer | Mark | Notes |
|---|---|---|
| 11.5 | 3 | M1 for \(13^2 - 6^2\) or \(169 - 36\) or 133 M1 (dep on M1) for \(\sqrt{13^2 - 6^2}\) or \(\sqrt{133}\) A1 for answer in the range 11.5 − 11.6 |
| Answer | Mark | Notes |
|---|---|---|
| 47.2 | 3 | M1 for \(\cos(RPQ) = \frac{17}{25}\) oe OR \(\sin PQR = \frac{17}{25}\) with \(PQR\) clearly identified M1 for (\(RPQ =\)) \(\cos^{-1}\frac{17}{25}\) oe OR \(PQR = \sin^{-1}\frac{17}{25}\) with \(PQR\) clearly identified A1 for answer in the range 47.1 − 47.2 SC : B2 for an answer of 0.823(033...) or 52.3(95...) or 52.4 |